Answer:
(a)12cm (b)5/13 (c)12/13 (d)5/12
Step-by-step explanation:
(a) In a right triangle, the length of the sides are govered by the Pythagoras Theorem.
[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
In the diagram
Hypotenuse=13cm; Opposite(With respect to angle A)=5cm
[tex]13^2=5^2+Adjacent^2\\Adjacent^2=169-25=144\\Adjacent=\sqrt{144}=12cm[/tex]
(b)sin A =[tex]\frac{opposite}{hypotenuse} =\frac{5}{13}[/tex]
(c)cos A=[tex]\frac{adjacent}{hypotenuse} =\frac{12}{13}[/tex]
(d)tan A=[tex]\frac{opposite}{adjacent} =\frac{5}{12}[/tex]
